Open-loop glucose-insulin control with threshold secretory mechanism: Analysis of intravenous glucose tolerance tests in man

Abstract The shape of the plasma insulin curve during a glucose tolerance test in man suggests that the threshold secretory process, as demonstrated in rat pancreatic perfusions, must be included in a model of insulin secretion, distribution, and removal for analysis of the data. A mathematical model was developed and subsequently applied to the intravenous tolerance test (IVGTT) obtained in human subjects. An important feature of the model is that the IVGTT is essentially a perturbation to an open-loop control system. A nonlinear regression analysis of the IVGTT in 23 normal subjects indicated that the model can account for the variety of insulin response curves found experimentally and provided the parameters of the system.

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